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Finding the Fourth Proportional to 380,082.90, 569,796.30 and 193,094.40

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Solution

The fourth proportional to 380,082.90, 569,796.30 and 193,094.40 is: 289,474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,082.90 : 569,796.30 = 193,094.40 : x
  2. Step 2: Convert to fraction form
    380,082.90/569,796.30 = 193,094.40/x
  3. Step 3: Cross multiply
    380,082.90x = 569,796.30 × 193,094.40
  4. Step 4: Simplify right side
    380,082.90x = 110,024,474,670.72
  5. Step 5: Solve for x
    x = 110,024,474,670.72/380,082.90
  6. Step 6: Final answer
    x = 289,474.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.